非Lipschitz渐近伪压缩映象不动点的迭代逼近 |
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引用本文: | 张树义,宋晓光,万美玲,李丹.非Lipschitz渐近伪压缩映象不动点的迭代逼近[J].吉林林学院学报,2014(5):581-587. |
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作者姓名: | 张树义 宋晓光 万美玲 李丹 |
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作者单位: | 渤海大学数理学院,辽宁锦州121013 |
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基金项目: | 国家自然科学基金项目(11371070) |
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摘 要: | 在去掉{xn}有界的条件下,从而没有使用{Tnxn}和{Tnyn-yn}的有界性条件,在实Banach空间中建立了非一致Lipschitz的渐近伪压缩映象不动点的更一般的具混合误差的修改的Ishikawa迭代序列的强收敛定理,从而改进和推广了已有的相关结果.
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关 键 词: | 实Banach空间 渐近伪压缩型映象 渐近非扩张映象 不动点 具混合广义误差的修改的Ishikawa迭代序列 |
Iterative Approximations of Fixed Point for Non-Lipschitz Asymptotically Pseudocontractive Mappings |
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Authors: | Zhang Shuyi Song Xiaoguang Wan Meiling Li Dan |
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Institution: | ( College of Mathematics and Physics, Bohai University, Jinzhou 121013, China) |
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Abstract: | Under the lack of assumption that { xn} is bounded,the strong convergence theorem of modified Ishikawa iterative sequences with generalized mixed errors approximations problem of fixed point for asymptotically pseudocontractive mappings in real Banach space is studied without boundedness of { Tnxn} and{Tnyn-yn},which improves and extends some known results. |
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Keywords: | real Banach space asymptotically pseudocontractive type mapping asymptotically nonexpansive mapping fixed point modified Ishikawa iterative with the more generally mixed errors |
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